Question

Althea and her family are driving to Funtastic City for a vacation. They drove 1/4 of the way and stopped for lunch. Then, they traveled another 3/8 of the way before stopping at a hotel for the night. What fraction of the total distance do they still need to travel to reach Funtastic City?

A. 1/2
B. 3/8
C. 5/8
D. 3/4

Answer 1

Althea's family has traveled 5/8 of the way to Funtastic City, leaving them with 3/8 of the journey still remaining. The correct answer is 3/8 (Option B).

Step-by-step explanation:

The student's question is about determining the remaining fraction of a journey yet to be traveled. Althea and her family have driven 1/4 of the way and then another 3/8 of the way toward Funtastic City. To find the fraction of the distance they still need to travel, we need to add the fractions of the journey they have completed:

• 1/4 of the way driven before lunch.
• 3/8 of the way driven after lunch.

To add these two fractions, they must have a common denominator, which is 8 in this case. The first fraction, 1/4, is equivalent to 2/8 when we multiply the numerator and the denominator by the same number (2 in this case). So, the total fraction of the journey they have completed is:

2/8 + 3/8 = 5/8.

This means that out of the whole journey (represented by the fraction 1), they still have to cover:

1 - 5/8 = 8/8 - 5/8 = 3/8 of the journey.

So, the correct answer to the question of what fraction of the total distance they still need to travel is 3/8 (Option B).